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Finding the Fourth Proportional to 73,087, 109,634.10 and 23,839

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Solution

The fourth proportional to 73,087, 109,634.10 and 23,839 is: 35,759.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,087 : 109,634.10 = 23,839 : x
  2. Step 2: Convert to fraction form
    73,087/109,634.10 = 23,839/x
  3. Step 3: Cross multiply
    73,087x = 109,634.10 × 23,839
  4. Step 4: Simplify right side
    73,087x = 2,613,567,309.90
  5. Step 5: Solve for x
    x = 2,613,567,309.90/73,087
  6. Step 6: Final answer
    x = 35,759.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.